319680720 has 60 divisors (see below), whose sum is σ = 1073596836. Its totient is φ = 85248000.

The previous prime is 319680709. The next prime is 319680727. The reversal of 319680720 is 27086913.

It can be written as a sum of positive squares in 2 ways, for example, as 96118416 + 223562304 = 9804^2 + 14952^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (319680727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 221281 + ... + 222720.

Almost surely, 2^319680720 is an apocalyptic number.

319680720 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

319680720 is an abundant number, since it is smaller than the sum of its proper divisors (753916116).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

319680720 is a wasteful number, since it uses less digits than its factorization.

319680720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444020 (or 444011 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 319680720 is about 17879.6174455719. The cubic root of 319680720 is about 683.7628191713.

It can be divided in two parts, 319680 and 720, that added together give a triangular number (320400 = T₈₀₀).

The spelling of 319680720 in words is "three hundred nineteen million, six hundred eighty thousand, seven hundred twenty".